12253
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12254
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12252
- Möbius Function
- -1
- Radical
- 12253
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 63
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1465
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 83.at n=7A020422
- a(n) = number of (s(0),s(1),...,s(n)) such that every s(i) is a nonnegative integer, s(0) = 1, s(n) = 2, |s(1) - s(0)| = 1, |s(i) - s(i-1)| <= 1 for i >= 2. Also a(n) = T(n,n-1), where T is the array in A026120; a(n) = U(n,n+1), where U is the array in A026148.at n=9A026123
- Bessel function Y_0(n) is a monotonically decreasing positive sequence.at n=25A046961
- Upper twin primes of upper twin prime index.at n=16A088463
- Primes p such that p-3 and p+3 are divisible by a cube.at n=11A089201
- First of 9 consecutive primes in a 3 X 3 spiral wherein the mean of all 8 sums is prime.at n=36A094454
- Sums of p-th to the q-th prime where p and q are consecutive primes.at n=41A114381
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 10.at n=14A119596
- Indices of primes with digit product = 3.at n=10A135048
- Primes of the form 210k + 73.at n=30A140857
- Primes congruent to 6 mod 37.at n=36A142115
- Primes congruent to 35 mod 41.at n=34A142232
- Primes congruent to 41 mod 43.at n=29A142290
- Primes congruent to 33 mod 47.at n=32A142384
- Primes congruent to 3 mod 49.at n=36A142416
- Primes congruent to 10 mod 53.at n=27A142540
- Primes congruent to 43 mod 55.at n=38A142632
- Primes congruent to 55 mod 57.at n=38A142699
- Primes congruent to 40 mod 59.at n=24A142767
- Primes congruent to 53 mod 61.at n=22A142851